Dispersion effects on the interaction of Airy beams and dark solitons

We simulate and analyse an Airy pulse coupled with a dark soliton in a single-mode fibre by solving the non-linear Schrödinger equation (NLSE). Simulations show that the group velocity parameter β₂₂ has a huge impact on the interaction between the Airy pulse and the dark soliton. At some values of β₂₂, a bright soliton arises from the Airy pulse. The intensity of the bright soliton reaches a maximum when β₂₂ takes a certain value. Meanwhile, the transmission distance and the primary energy of the Airy pulse are affected by the different values of β₂₂. However, when the Airy pulse propagates in a linear medium, varying the value of β₂₂ has only a slight impact on the interaction, and no bright soliton detaches from the Airy pulse. In brief, the dispersion effect has a large impact on the interaction of Airy pulses and dark solitons in a non-linear medium; however, dispersion has a lesser impact on interactions in a linear medium.